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Finding the Fourth Proportional to 81,710.52, 122,503.38 and 37,306.44

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Solution

The fourth proportional to 81,710.52, 122,503.38 and 37,306.44 is: 55,931.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,710.52 : 122,503.38 = 37,306.44 : x
  2. Step 2: Convert to fraction form
    81,710.52/122,503.38 = 37,306.44/x
  3. Step 3: Cross multiply
    81,710.52x = 122,503.38 × 37,306.44
  4. Step 4: Simplify right side
    81,710.52x = 4,570,164,995.77
  5. Step 5: Solve for x
    x = 4,570,164,995.77/81,710.52
  6. Step 6: Final answer
    x = 55,931.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.